Conformal field theory on the horizon of a BTZ black hole

Wang, Jingbo; Huang, Chao-Guang

doi:10.1088/1674-1137/42/12/123110

Cited by 7 publications

(10 citation statements)

References 37 publications

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“…As was shown in Ref. [13], those boundary degrees of freedom can be described by two chiral massless scalar fields Ψ L (for left-moving) and Ψ R (for right-moving). From the analysis of the quasi-particles, it was shown that the BTZ black holes can be consider as the fractional quantum Hall states with filling factor v = 1 2k [14].…”

Section: Topological Order In 3d Ads Gravitymentioning

confidence: 66%

Topological Order of Quantum Gravity in $AdS_3$ Spacetime

Wang

2021

Preprint

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Topological order is a new type order that beyond Landau's symmetry breaking theory. It has some interesting properties, such as producing quasi-particles with fractional quantum numbers and fractional/Fermi statistics, robust gapless boundary modes and emergent gauge excitations. In this essay, we will show that the quantum gravity in AdS3 spacetime can also have topological orders.Actually the theory has all the three features that define the topological order. We conjecture that quantum gravity in four dimension can also have topological orders.

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Section: Topological Order In 3d Ads Gravitymentioning

confidence: 66%

Topological Order of Quantum Gravity in $AdS_3$ Spacetime

Wang

2021

Preprint

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“…So for black holes, the corresponding algebra is W = U (1) ⊗ Ū (1) which have opposite chirality. This result can also be obtained from the Chern-Simons theory [30]. Now we considered the representation of this algebra W = U (1) ⊗ Ū (1) [31].…”

Section: Near Horizon Symmetry Algebra From W1+∞ Symmetry Algebramentioning

confidence: 70%

W-hairs of the black holes in three-dimensional spacetime *

Wang

2019

Chinese Phys. C

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In the previous paper (arXiv:1804.09438) we found that the near horizon symmetry algebra of black holes is a subalgebra of the W1+∞ symmetry algebra of quantum Hall fluid in three dimensional spacetime. In this paper, we give a slightly different representation of the former algebra from the latter one. Similar to the horizon fluff proposal, based on the W1+∞ algebra, we count the number of the microstates of the BTZ black holes and obtain the Bekenstein-Hawking entropy. *

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“…[6,7]. The boundary modes on the horizon of a BTZ black hole can be described by two chiral massless scalar fields with opposite chirality [8]. This is the same as a topological insulator in three dimensional spacetime (also called quantum spin Hall state) [9].…”

Section: Introductionmentioning

confidence: 99%

Hawking Radiation Is Pure

Wang¹

2020

Preprint

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Information loss paradox is still a challenging problem in theoretical physics. In this essay, for statics BTZ black holes and Schwarzschild black holes, we propose a simple solution based on the similarity between black holes and topological insulators. That is, the Hawking radiation is pure due to the entanglement between the left-moving sector and right-moving sector of the Hawking radiation. And this entanglement may be detected in an analogue black hole in the near future.

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Conformal field theory on the horizon of a BTZ black hole

Cited by 7 publications

References 37 publications

Topological Order of Quantum Gravity in $AdS_3$ Spacetime

Topological Order of Quantum Gravity in $AdS_3$ Spacetime

W-hairs of the black holes in three-dimensional spacetime *

Hawking Radiation Is Pure

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